Is it true that the story of Abraha al-Habashi and his elephant is among the Israʼiliyyat (Jewish traditions)? And what is the evidence for its authenticity from the Sunnah or the sayings of the Companions, if it is not so?

Surat al-Fil (The Elephant) recounts the story of Abraha al-Habashi and his attempt to demolish the Kaaba, and how Allah sent upon him and his army flocks of birds (Ababeel) that pelted them with stones of baked clay (sijjeel), turning them into chewed-up straw. The name "Abraha" is known among Arabs and appears in ancient Marib inscriptions, and he was mentioned by al-Tabari and other exegetes. Even if the name "Abraha" was taken from the Isra'iliyyat (Judeo-Christian traditions), the Prophet, peace be upon him, permitted narrating from the Children of Israel "and there is no harm" in what does not contradict our Sacred Law or what reason deems impossible. These narratives fall into three categories: what our Sacred Law confirms, we accept; what our Sacred Law denies, we reject; and what our Sacred Law is silent about, we neither confirm nor deny. The Companions relied on the Isra'iliyyat in some historical accounts that do not pertain to legal rulings.